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Finding the Fourth Proportional to 16,280.49, 22,459.50 and 9,563.97

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Solution

The fourth proportional to 16,280.49, 22,459.50 and 9,563.97 is: 13,193.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,280.49 : 22,459.50 = 9,563.97 : x
  2. Step 2: Convert to fraction form
    16,280.49/22,459.50 = 9,563.97/x
  3. Step 3: Cross multiply
    16,280.49x = 22,459.50 × 9,563.97
  4. Step 4: Simplify right side
    16,280.49x = 214,801,984.22
  5. Step 5: Solve for x
    x = 214,801,984.22/16,280.49
  6. Step 6: Final answer
    x = 13,193.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.